Research Article

The exponentiated Kumaraswamy-power function distribution

Volume: 46 Number: 2 April 1, 2017
EN

The exponentiated Kumaraswamy-power function distribution

Abstract

In this paper, the exponentiated Kumaraswamy-power function distribution is introduced. Some structural properties of the proposed distribution including the shapes of the density, hazard and quantile functions are explored. Besides, skewness and kurtosis measures are investigated. The method of maximum likelihood is used for estimating model parameters. For different parameter settings and sample sizes, a simulation study is performed and the performance of the new distribution is compared with some well-known distributions. Then, an application is presented with a real data set to illustrate the usefulness of the proposed distribution.

Keywords

References

  1. Zaka, A. and Akhtar, A.S. Estimation of parameters of the Power function distribution: Different classical methods, Pakistan Journal of Statistics and Operation Research, 9 (2), 213-224, 2013.
  2. Haq, M.A.u., Butt, N.S., Usman, R.M. and Fattah, A.A. Trunsmuted power function dis- tribution, Gazi University Journal of Science, 29 (1),177-185, 2016.
  3. Meniconi, M. and Barry, D. The power function distribution: A useful and simple distribu- tion to assess electrical component reliability, Microelectronics Reliability, 36 (9), 1207-1212, 1996.
  4. Ahsanullah, M. and Kabir, A. A characterization of the power function distribution, The Canadian Journal of Statistics/La Revue Canadianne de Statistique, 2 (1), 95-98, 1974.
  5. Zaka, A. and Akhter, A. Modified moment, maximum likelihood and percentile estimators for the parameters of the power function distribution, Pakistan Journal of Statistics and Operation Research, 10 (4), 369-388, 2014.
  6. Zaka, A. and Akhter, A. Bayesian analysis of power function distribution using different loss functions, International Journal of Hybrid Information Technology, 7 (6), 229-244, 2014.
  7. Zaka, A., Froze, N. and Akhter, A. A note on modified estimators for the parameters of the power function distribution, International Journal of Advanced Science and Technology, 59 ,71-84, 2013.
  8. Sultan, R., Sultan, H. and Ahmad, S. Bayesian analysis of power function distribution under double priors, Journal of Statistics Applications and Probability, 3 (2), 239-249, 2014.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nurbanu Bursa * This is me

Publication Date

April 1, 2017

Submission Date

June 23, 2016

Acceptance Date

November 8, 2016

Published in Issue

Year 2017 Volume: 46 Number: 2

APA
Bursa, N., & Ozel, G. (2017). The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics, 46(2), 277-292. https://izlik.org/JA32GY24GE
AMA
1.Bursa N, Ozel G. The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics. 2017;46(2):277-292. https://izlik.org/JA32GY24GE
Chicago
Bursa, Nurbanu, and Gamze Ozel. 2017. “The Exponentiated Kumaraswamy-Power Function Distribution”. Hacettepe Journal of Mathematics and Statistics 46 (2): 277-92. https://izlik.org/JA32GY24GE.
EndNote
Bursa N, Ozel G (April 1, 2017) The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics 46 2 277–292.
IEEE
[1]N. Bursa and G. Ozel, “The exponentiated Kumaraswamy-power function distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, pp. 277–292, Apr. 2017, [Online]. Available: https://izlik.org/JA32GY24GE
ISNAD
Bursa, Nurbanu - Ozel, Gamze. “The Exponentiated Kumaraswamy-Power Function Distribution”. Hacettepe Journal of Mathematics and Statistics 46/2 (April 1, 2017): 277-292. https://izlik.org/JA32GY24GE.
JAMA
1.Bursa N, Ozel G. The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics. 2017;46:277–292.
MLA
Bursa, Nurbanu, and Gamze Ozel. “The Exponentiated Kumaraswamy-Power Function Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 2, Apr. 2017, pp. 277-92, https://izlik.org/JA32GY24GE.
Vancouver
1.Nurbanu Bursa, Gamze Ozel. The exponentiated Kumaraswamy-power function distribution. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Apr. 1;46(2):277-92. Available from: https://izlik.org/JA32GY24GE